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Design Innovation Paper

Design Method for Screw Forming Cutter Based on Tooth Profile Composed of Discrete Points

[+] Author and Article Information
Qian Tang

State Key Laboratory of Mechanical Transmission,
Chongqing University,
174 Shazheng Street,
Shapingba, Chongqing 400030, China
e-mail: tqcqu@cqu.edu.cn

Yuanxun Zhang

College of Aerospace Engineering,
Chongqing University,
174 Shazheng Street,
Shapingba, Chongqing 400030, China
e-mail: yuanxun.zhang@yahoo.com

Zhenwei Jiang

State Key Laboratory of Mechanical Transmission,
Chongqing University,
174 Shazheng Street,
Shapingba, Chongqing 400030, China
e-mail: jzw50123@126.com

Di Yan

State Key Laboratory of Mechanical Transmission,
Chongqing University,
174 Shazheng Street,
Shapingba, Chongqing 400030, China
e-mail: mcyandi@163.com

1Corresponding author.

Contributed by the Power Transmission and Gearing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received July 16, 2014; final manuscript received May 6, 2015; published online June 16, 2015. Assoc. Editor: Zhang-Hua Fong.

J. Mech. Des 137(8), 085002 (Aug 01, 2015) (9 pages) Paper No: MD-14-1424; doi: 10.1115/1.4030648 History: Received July 16, 2014; Revised May 06, 2015; Online June 16, 2015

The forming method has been widely used for manufacturing screw rotors with helical profile. This paper takes the manufacturing of screws for screw pumps as an example and uses the cubic spline interpolation method to obtain the tooth profile of the screw forming cutter according to the tooth profile at any end section of screws composed of discrete points and based on the principle of gearing mesh. Furthermore, this paper studies the space enveloping and geometric characteristics between the screw and cutter during the manufacturing process, combines the shape of the contact line, which is generated due to the cooperative motion of the machine tool, screw, and cutter, with spatial location parameters, and thus innovatively proposes a design method for the screw forming cutter based on discrete points, namely, the form-position geometric method (FPGM). It can be seen after comparing the proposed method with the principle of gear meshing that the cutter-workpiece enveloping solution model, simplified by the FPGM, can overcome the key technical difficulty, i.e., it is difficult to accurately calculate the cusp of the tooth curve; meanwhile, the proposed method can improve the precision of the cutter tooth profile design. Finally, the feasibility and superiority of FPGM are verified by experiments.

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References

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Figures

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Fig. 1

Coordinate systems of disk cutter and workpiece

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Fig. 2

Solving process of forming cutter for tooth profile at discrete point based on meshing principle

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Fig. 3

Flow chart of solving cutters by (a) gear meshing principle method and (b) FPGM

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Fig. 4

Spatial location of contact line

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Fig. 5

Spatial relationship between cutting plane and workpiece

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Fig. 6

Relationship between cutting plane and workpiece

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Fig. 7

Comparison of (a) FPGM and (b) meshing principle

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Fig. 8

Profile of screw forming cutter

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Fig. 9

Manufacturing effect of screw tooth profile

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Fig. 10

Circumferential deviation of actual screw tooth profiles

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